Results 11 to 20 of about 168,343 (247)
The Sequent Calculus Trainer with Automated Reasoning - Helping Students to Find Proofs [PDF]
ThEdu@CADE, 2018 The sequent calculus is a formalism for proving validity of statements formulated in First-Order Logic. It is routinely used in computer science modules on mathematical logic.
Arno Ehle, Norbert Hundeshagen, M. Lange
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Sequent calculus for hybrid logic
Lietuvos matematikos rinkinys, 2023 There is not ...
Norgėla, Stanislovas Leonas +1 more
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A sequent calculus with dependent types for classical arithmetic [PDF]
Logic in Computer Science, 2018 In a recent paper [11], Herbelin developed dPAω, a calculus in which constructive proofs for the axioms of countable and dependent choices could be derived via the encoding of a proof of countable universal quantification as a stream of it components ...
Étienne Miquey
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A Sequent Calculus for a Semi-Associative Law [PDF]
International Conference on Formal Structures for Computation and Deduction, 2017 We introduce a sequent calculus with a simple restriction of Lambek's product rules that precisely captures the classical Tamari order, i.e., the partial order on fully-bracketed words (equivalently, binary trees) induced by a semi-associative law ...
N. Zeilberger
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A Cut-Free Sequent Calculus for Defeasible Erotetic Inferences [PDF]
Studia Logica: An International Journal for Symbolic Logic, 2018 In recent years, the effort to formalize erotetic inferences—i.e., inferences to and from questions—has become a central concern for those working in erotetic logic. However, few have sought to formulate a proof theory for these inferences.
Jared Millson
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Integrating a Global Induction Mechanism into a Sequent Calculus [PDF]
International Conference on Theorem Proving with Analytic Tableaux and Related Methods, 2017 Most interesting proofs in mathematics contain an inductive argument which requires an extension of the LK-calculus to formalize. The most commonly used calculi contain a separate rule or axiom which reduces the important proof theoretic properties of ...
David M. Cerna, Michael Peter Lettmann
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The Sequent Calculus of Skew Monoidal Categories
Mathematical Foundations of Programming Semantics, 2018 Szlachanyi's skew monoidal categories are a well-motivated variation of monoidal categories in which the unitors and associator are not required to be natural isomorphisms, but merely natural transformations in a particular direction.
T. Uustalu +2 more
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A Classical Sequent Calculus with Dependent Types
European Symposium on Programming, 2017 Dependent types are a key feature of the proof assistants based on the Curry-Howard isomorphism. It is well known that this correspondence can be extended to classical logic by enriching the language of proofs with control operators.
Étienne Miquey
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Verifying a Sequent Calculus Prover for First-Order Logic with Functions in Isabelle/HOL
Journal of automated reasoningWe describe the design, implementation and verification of an automated theorem prover for first-order logic with functions. The proof search procedure is based on sequent calculus and we formally verify its soundness and completeness in Isabelle/HOL ...
Asta Halkjær From +1 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Neuroblastoma is the most common extracranial solid tumor in early childhood. Its clinical behavior is highly variable, ranging from spontaneous regression to fatal outcome despite intensive treatment. The International Society of Pediatric Oncology Europe Neuroblastoma Group (SIOPEN) Radiology and Nuclear Medicine Specialty Committees ...
Annemieke Littooij +11 more
wiley +1 more source